Resistivity determination from small crystallites

S. Hyun, M. Thorpe, M. Jaeger, B. Golding, A. Day

Research output: Contribution to journalArticlepeer-review

4 Scopus citations


We determine the resistivity of small micrometer-sized conductors with arbitrary shapes. It is shown that with (Formula presented) terminals attached to the sample, there are (Formula presented) independent measurements of the resistance that can be made; from which the sample resistivity and the contact resistances can be extracted. An image of the sample is digitized and a finite element analysis is used to determine the geometrical factors that arise from the nonuniform current flow and hence control the resistance measurements. It is shown that all the elements of the resistance matrix for the sample are generated from the diagonal elements alone for an Ohmic sample, which provide a useful check of the experimental resistance measurements. To illustrate this approach, micrometer-sized diamond crystallites with four terminals were used, and the sample resistivity and the contact resistances extracted. This technique is a practical example of an inverse problem.

Original languageEnglish (US)
Pages (from-to)6697-6705
Number of pages9
JournalPhysical Review B - Condensed Matter and Materials Physics
Issue number11
StatePublished - 1998

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics


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